An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 4.0 × 10⁶ m.What free-fall acceleration will the 0.50-kg object experience when transported to a distance of 8.00 × 10⁶ m from the surface of this planet? A)240 m/s² B)1.11 m/s² C)10.0 m/s² D)4.44 m/s²

Question

Quizplus · Accepted Answer

First, we can use the formula for weight to find the gravitational acceleration at the surface of the planet:

weight = mass x gravitational acceleration

20 N = 0.50 kg x gravitational acceleration

gravitational acceleration = 40 N/kg

Next, we can use the formula for gravitational acceleration to find the acceleration at a distance of 8.00 × 10^16 m from the surface:

gravitational acceleration = (universal gravitational constant x mass of planet) / distance^2

Plugging in the given values and the gravitational acceleration found at the surface:

gravity at 8.00 × 10^16 m = (6.67×10^-11 N(m/kg)^2 × (4.00×10^16 m)^3 × 0.50 kg) / (8.00×10^16 m)^2

gravity at 8.00 × 10^16 m = 4.44 m/s^2

Therefore, the answer is D: 4.44 m/s^2.

An Object of Mass 0